A polynomial function is represented by the data in the table. x = -5, -4, -3, -2, -1
f(x) = -15, -6, 1, 6, 9

Choose the function represented by the data.

f(x) = 6x + 15
f(x) = −6x − 45
f(x) = x2 − 40
f(x) = −x2 + 10

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?